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82860060672 = 21235175983
BaseRepresentation
bin100110100101011011…
…0000011000000000000
321220212122211012200000
41031022312003000000
52324144133420142
6102022042400000
75662230615624
oct1151266030000
9256778735600
1082860060672
1132160386a94
1214085800000
137a768307cc
144020955184
15224e61e14c
hex134ad83000

82860060672 has 624 divisors, whose sum is σ = 270483857280. Its totient is φ = 25246826496.

The previous prime is 82860060671. The next prime is 82860060683. The reversal of 82860060672 is 27606006828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82860060671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998313943 + ... + 998314025.

It is an arithmetic number, because the mean of its divisors is an integer number (433467720).

Almost surely, 282860060672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82860060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135241928640).

82860060672 is an abundant number, since it is smaller than the sum of its proper divisors (187623796608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82860060672 is an equidigital number, since it uses as much as digits as its factorization.

82860060672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82860060672 in words is "eighty-two billion, eight hundred sixty million, sixty thousand, six hundred seventy-two".